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Technical Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication

Posted on 2010-07-09




Name:Technical Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication
ASIN/ISBN:0471190799
Publisher:Wiley-Interscience
Publish Date:edition 1997
Pages:368 pages
File size:16.5 Mb
Publisher: Wiley-Interscience
ISBN: 0471190799
Publish Date: edition 1997
File Type: PDF
Pages: 368 pages
File Size: 16,5 mb
   Technical Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication

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Primes of the Form x^2 + ny^2: Fermat, Class Field Theory, and Complex Multiplication

Provides a general solution to the question of which primes p can be expressed in the form x² + ny². Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the mignificent formulas of complex multiplication.

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